Answer:
y = x + 8
Step-by-step explanation:
- Find the slope: ( parellel lines have the same slope)
- Create an equation using the given ordered pair to find the
y-intersept (b): 10 = (6) + b
- Reduce the numbers with the greatest common factor 3 : 10 = 2 + b
- Move the variable to the left-hand side and change its sign : -b + 10 = 2
- Calculate the diffrence : -x = -8
- Change the signs on both sides of the equation: x = 8
Use the slope and y-itersept to creat the equation : y = x + 8
The expression 4x^2-px-7 leaves a remainder of -2 when divided by (x-3). Then the value of p is 10.33
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Solution:</u></h3>
Given the expression is leaves a remainder of -2 when divided by (x-3)
To find: value of p
x - 3 = 0
x = 3
Let
Hence we can say,
g(3) = -2
Substitute x = 3 in g(x) we get,
On solving we get,
-2 = 4(9) - 3p - 7
-2 = 36 - 3p - 7
3p = 36 - 7 + 2
3p = 31
Thus the value of p is 10.33